Question

The numbers 1-10 are put in one bag. The numbers 5-14 are put in another bag. When you pick one number from each bag, what is the probability you get the same number?

A) 0.2
B) 0.25
C) 0.5
D) 0.1

Answer 1

The probability of drawing the same number from both bags is 0.06, which when rounded to one decimal place is 0.1 (Option D). This is calculated by dividing the number of favorable outcomes (6) by the total number of outcomes (100).

Step-by-step explanation:

The question asks about the probability of drawing the same number from two bags, each containing a different range of numbers. Bag one contains the numbers 1-10, and bag two contains the numbers 5-14. To find the probability of drawing the same number from both bags, we need to determine the overlapping set of numbers present in both bags which are 5, 6, 7, 8, 9, and 10. There are 6 common numbers that could be drawn from both bags. The total number of possible outcomes when drawing one number from each bag is the product of the number of elements in each set, which is 10 in bag one and 10 in bag two (as there are 10 unique numbers in both ranges), yielding 100 total outcomes.

To calculate the probability, we divide the number of favorable outcomes (6) by the total number of outcomes (100):

Probability = Number of favorable outcomes / Total number of outcomes

Probability = 6 / 100

Probability = 0.06

Therefore, the correct answer is D) 0.1, because the probability is actually 0.06, which when rounded to one decimal place is 0.1.